Question

identify the common factors of the integers 12 and 18.

select one answer
a 2, 3, 6
b 1, 2, 3, 6
c 2, 2, 3, 3
d 1, 2, 6

Explanation:

Find the factors of 12

$$ \text{Factors of } 12 = \{1, 2, 3, 4, 6, 12\} $$

Find the factors of 18

$$ \text{Factors of } 18 = \{1, 2, 3, 6, 9, 18\} $$

Determine the common factors

$$ \text{Common Factors} = \{1, 2, 3, 4, 6, 12\} \cap \{1, 2, 3, 6, 9, 18\} = \{1, 2, 3, 6\} $$

Answer:

• (A) 2, 3, 6
• (B) 1, 2, 3, 6 (Correct answer)
• (C) 2, 2, 3, 3
• (D) 1, 2, 6